136381583520 has 1728 divisors, whose sum is σ = 640684235520. Its totient is φ = 26381168640.

The previous prime is 136381583461. The next prime is 136381583521. The reversal of 136381583520 is 25385183631.

136381583520 is a `hidden beast` number, since 1 + 3 + 6 + 38 + 15 + 83 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136381583521) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4399405905 + ... + 4399405935.

It is an arithmetic number, because the mean of its divisors is an integer number (370766340).

Almost surely, 2^136381583520 is an apocalyptic number.

136381583520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136381583520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320342117760).

136381583520 is an abundant number, since it is smaller than the sum of its proper divisors (504302652000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136381583520 is a wasteful number, since it uses less digits than its factorization.

136381583520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 136381583520 in words is "one hundred thirty-six billion, three hundred eighty-one million, five hundred eighty-three thousand, five hundred twenty".